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Finding the Fourth Proportional to 27,546.84, 41,303.81 and 10,909.26

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Solution

The fourth proportional to 27,546.84, 41,303.81 and 10,909.26 is: 16,357.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,546.84 : 41,303.81 = 10,909.26 : x
  2. Step 2: Convert to fraction form
    27,546.84/41,303.81 = 10,909.26/x
  3. Step 3: Cross multiply
    27,546.84x = 41,303.81 × 10,909.26
  4. Step 4: Simplify right side
    27,546.84x = 450,594,002.28
  5. Step 5: Solve for x
    x = 450,594,002.28/27,546.84
  6. Step 6: Final answer
    x = 16,357.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.